WITTER DEAN TAX EXEMPT SECURITIES TRUST
497, 1997-12-31
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                                             Filed Pursuant to Rule 497(e)
                                             Registration File No.: 33-21803
                                                                    2-91103
                                                                    33-58175
                                                                    33-62158
                                                                    33-37562
                                                                    33-32763
                                                                    2-95664
                                                                    33-41187
                                                                    2-66268
                                                                    2-67087

                      SUPPLEMENT TO THE PROSPECTUSES OF 

DEAN WITTER CALIFORNIA TAX-FREE DAILY INCOME TRUST Dated February 25, 1997 
DEAN WITTER CALIFORNIA TAX-FREE INCOME FUND Dated July 28, 1997 
DEAN WITTER HAWAII MUNICIPAL TRUST Dated January 31, 1997 
DEAN WITTER LIMITED TERM MUNICIPAL TRUST Dated June 13, 1997 
DEAN WITTER MULTI-STATE MUNICIPAL SERIES TRUST Dated February 28, 1997 
DEAN WITTER NEW YORK MUNICIPAL MONEY MARKET TRUST Dated February 24, 1997 
DEAN WITTER NEW YORK TAX-FREE INCOME FUND Dated July 28, 1997 
DEAN WITTER SHORT-TERM U.S. TREASURY TRUST Dated August 1, 1997 
DEAN WITTER TAX-EXEMPT SECURITIES TRUST Dated July 28, 1997 
DEAN WITTER TAX-FREE DAILY INCOME TRUST Dated February 24, 1997 

   The Trustees of each investment company named above have approved certain 
changes to the minimum required investments for each Fund. Accordingly, the 
disclosure in the section of each of the above Prospectuses entitled 
"Purchase of Fund Shares" pertaining to minimum investment requirements is 
hereby modified to reflect the following: 

      In the case of investments pursuant to (i) Systematic Payroll Deduction 
    Plans (including, in the case of Dean Witter Short-Term U.S. Treasury 
    Trust, Individual Retirement Plans), (ii) the InterCapital mutual fund 
    asset allocation program and (iii) fee-based programs approved by the 
    Distributor, pursuant to which participants pay an asset based fee for 
    services in the nature of investment advisory or administrative services, 
    the Fund, in its discretion, may accept investments without regard to any 
    minimum amounts which would otherwise be required, provided, in the case 
    of Systematic Payroll Deduction Plans, that the Distributor has reason to 
    believe that additional investments will increase the investment in all 
    accounts under such Plans to at least $1,000 ($5,000 in the case of each 
    of Dean Witter California Tax-Free Daily Income Trust, Dean Witter New 
    York Municipal Money Market Trust and Dean Witter Tax-Free Daily Income 
    Trust, and $10,000 in the case of Dean Witter Short-Term U.S. Treasury 
    Trust). 

December 31, 1997 




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